Suppose a player's true batting average is Normal, with mu = .272, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average LESS THAN 0.250 on the basis of luck alone?
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Suppose a player's true batting average is Normal, with mu = .272, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average LESS THAN 0.250 on the basis of luck alone?
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- Suppose a player's true batting average is Normal, with mu = .275, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average GREATER THAN 0.300 on the basis of luck alone?The score obtained on an emotional intelligence test is normally distributed,with an average score (μ) of 112 and a standard deviation (σ) of 8.5. What is the probability that a randomly selected person will:Q.6.3.1 Obtain a score between 111 and 116? Interpret your answer. Q.6.3.2 Obtain a score between 107 and 110? Interpret your answer.Anticipated consumer demand in a restaurant for free-range steaks next month can be modeled by a normal random variable with mean 1,200 pounds and standard deviation 100 pounds. a. What is the probability that demand will be between 1,100 and 1,300 pounds? Calculate in 4 decimal place. b. The probability is 0.10 that demand will be more than how many pounds?
- The time taken to complete a bicycle race is normally distributed, with anaverage time (μ) of 2.25 hours and a standard deviation (σ) of 0.65 hours.What is the probability that a randomly selected cyclist will: Q.7.3.1 Take between 2.75 and 3.15 hours to complete the race? Interpretyour answer. Q.7.3.2 Take between 2.05 and 2.15 hours to complete the race? Interpretyour answer.A large number of MBA applicants are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What is the probability a randomly chosen applicant scores 600 or above in this test? a. 0.5401 b. 0.0401 c. 0.4599 d. 0.0852An analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A to the upper 10% of the test grades. To the nearest percent, what is the dividing point between an A and a B grade?
- GIL internet services record customer usage patterns. Historically they have found the duration of an internet session is normally distributed with an average duration of 77.5 minutes and a standard deviation of 20.6 minutes. What is the probability a randomly selected session would last longer than two hours or less than thirty-five minutes? (4 decimal places)IQ is normally distributed with a mean of 100 and a standard deviation of 16. A local school is considering what its minimum IQ score should be for admission. What should the minimum IQ score be so that only 10% of all students in the area can qualify for admission? Round your answers to whole numbers.Suppose that the dividends of dividend-paying stocks are normally distributed with a mean of 3.86% (as a percentage of the share price) and a standard deviation of 1.25%. In a sample of 55 dividend-paying stocks, what is the probability that the average dividend will be 3.70% or more? (please round your answer to 4 decimal places)
- An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 364 watts with a standard deviation of 12 watts. What is the probability that the mean amplifier output would be greater than 364.8 watts in a sample of 52 amplifiers if the claim is true? Round your answer to four decimal places.Half of a set of the parts are manufactured by machine A and half by machine B. Five percent of all the parts are defective. Five percent of the parts manufactured on machine A are defective. Find the probability that a part was manufactured on machine A, given that the part is defective.Home prices in a particular neighborhood average $350k with a standard deviation of $30k. They are not Normally distributed. Your realtor pulls a random sample of 30 houses for you to look at. What is the probability that the average price of these 30 houses is more than $345k? (Please round your answer to 3 decimal places: ex, 0.123)
